Question

state if the triangles in each pair are similar. If so State how you know they are similar and complete the similarity statement​

Answer 1

fourth option

Explanation:

∠ FTC = ∠ MTL ( vertical angles )

Since FC and ML are parallel, then

∠ FCT = ∠ TML (corresponding angles )

Thus

Δ TCF ~ Δ TML by the AA postulate

Answer 2

`\large \boxed{\mathrm{similar, \ AA \ similarity}, \ \Delta TML}`

Explanation:

The two triangles are similar.

We can prove by angle-angle similarity, in
`\mathrm{AA}` similarity, there are two pairs of congruent corresponding angles in two triangles, this proves the two triangles are similar.

`\angle U` and
`\angle M` are a pair of congruent corresponding angles.

`\angle V` and
`\angle L` are a pair of congruent corresponding angles.

Therefore,

`\Delta TUV \sim \Delta TML`